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Hello❤!!
See the given attachment ❤!!
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Area of the triangle = √S ( S - a ) ( S - b ) ( S - c )
Area of the triangle = √S ( S - a ) ( S - b ) ( S - c )Let semi-perimeter be S
All the sides are equal ( a = b = c )
S = Perimeter / 2
S = a + a + a / 2
S = 3a / 2
Area of triangle
= √ S ( S - a ) ( S - b ) ( S - c )
Adding ( a = b = c )
S = 3a / 2
Area of signal board
= √ 3a / 2 ( 3a / 2 - a) ( 3a / 2 - a ) ( 3a / 2 - a )
= √ 3a / 2 × 9 / 2 × 9 / 2 × 9 / 2
= √3a^4 / 2^4
= √ 3a^2 / 2^2 ___ ( 1 ) ___
= √ 3a^2 / 4
180 cm is the perimeter
a + a + a = 180 cm
3a = 180 cm
a = 180 / 3 cm
a = 60 cm
Adding ( a = 60 cm ) in __ (1) __
= √ 3a^2 / 4
= √ 3 × 60^2 / 2
= √ 3 × 3600 / 4
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